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igl/python/tutorial/402_PolyharmonicDeformation.py
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#!/usr/bin/env python
#
# This file is part of libigl, a simple c++ geometry processing library.
#
# Copyright (C) 2017 Sebastian Koch <s.koch@tu-berlin.de> and Daniele Panozzo <daniele.panozzo@gmail.com>
#
# This Source Code Form is subject to the terms of the Mozilla Public License
# v. 2.0. If a copy of the MPL was not distributed with this file, You can
# obtain one at http://mozilla.org/MPL/2.0/.
import sys, os
# Add the igl library to the modules search path
sys.path.insert(0, os.getcwd() + "/../")
import pyigl as igl
from shared import TUTORIAL_SHARED_PATH, check_dependencies
dependencies = ["glfw"]
check_dependencies(dependencies)
z_max = 1.0
z_dir = -0.03
k = 2
resolve = True
V = igl.eigen.MatrixXd()
U = igl.eigen.MatrixXd()
Z = igl.eigen.MatrixXd()
F = igl.eigen.MatrixXi()
b = igl.eigen.MatrixXi()
bc = igl.eigen.MatrixXd()
def pre_draw(viewer):
global z_max, z_dir, k, resolve, V, U, Z, F, b, bc
if resolve:
igl.harmonic(V, F, b, bc, k, Z)
resolve = False
U.setCol(2, z_max * Z)
viewer.data().set_vertices(U)
viewer.data().compute_normals()
if viewer.core().is_animating:
z_max += z_dir
z_dir *= (-1.0 if z_max >= 1.0 or z_max <= 0.0 else 1.0)
return False
def key_down(viewer, key, mods):
global z_max, z_dir, k, resolve, V, U, Z, F, b, bc
if key == ord(' '):
viewer.core().is_animating = not viewer.core().is_animating
elif key == ord('.'):
k = k + 1
k = (4 if k > 4 else k)
resolve = True
elif key == ord(','):
k = k - 1
k = (1 if k < 1 else k)
resolve = True
return True
igl.readOBJ(TUTORIAL_SHARED_PATH + "bump-domain.obj", V, F)
U = igl.eigen.MatrixXd(V)
# Find boundary vertices outside annulus
Vrn = V.rowwiseNorm()
is_outer = [Vrn[i] - 1.00 > -1e-15 for i in range(0, V.rows())]
is_inner = [Vrn[i] - 0.15 < 1e-15 for i in range(0, V.rows())]
in_b = [is_outer[i] or is_inner[i] for i in range(0, len(is_outer))]
b = igl.eigen.MatrixXd([[i for i in range(0, V.rows()) if (in_b[i])]]).transpose().castint()
bc.resize(b.size(), 1)
for bi in range(0, b.size()):
bc[bi] = (0.0 if is_outer[b[bi]] else 1.0)
# Pseudo-color based on selection
C = igl.eigen.MatrixXd(F.rows(), 3)
purple = igl.eigen.MatrixXd([[80.0 / 255.0, 64.0 / 255.0, 255.0 / 255.0]])
gold = igl.eigen.MatrixXd([[255.0 / 255.0, 228.0 / 255.0, 58.0 / 255.0]])
for f in range(0, F.rows()):
if in_b[F[f, 0]] and in_b[F[f, 1]] and in_b[F[f, 2]]:
C.setRow(f, purple)
else:
C.setRow(f, gold)
# Plot the mesh with pseudocolors
viewer = igl.glfw.Viewer()
viewer.data().set_mesh(U, F)
viewer.data().show_lines = False
viewer.data().set_colors(C)
viewer.core().trackball_angle = igl.eigen.Quaterniond(0.81,-0.58,-0.03,-0.03)
viewer.core().trackball_angle.normalize()
viewer.callback_pre_draw = pre_draw
viewer.callback_key_down = key_down
viewer.core().is_animating = True
viewer.core().animation_max_fps = 30.0
print("Press [space] to toggle animation.")
print("Press '.' to increase k.")
print("Press ',' to decrease k.")
viewer.launch()